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The campus bookstore sells graphing calculators for $110 and scientific calculators for $16. On the first day of classes, 50 calculators were sold for a total of $1,646. How many of each were sold?

Answer :

luisejr77

Answer: 9 graphing calculators and 41 scientific calculators were sold.

Step-by-step explanation:

Let be "g" the number of graphing calculators and "s" the numbe of scientific calculators.

Set up a system of equations:

[tex]\left \{ {{g+s=50} \atop {110g+16s=1,646}} \right.[/tex]

You can solve the system of equations using the Elimination Method. Multiply the first equation by -16, add the equations and then solve for "g":

[tex]\left \{ {{-16g-16s=-800} \atop {110g+16s=1,646}} \right.\\.........................\\94g=846\\\\g=\frac{846}{94}\\\\g=9[/tex]

Substitute the value of "g" into the first equation and solve for "s":

[tex]9+s=50\\\\s=50-9\\\\s=41[/tex]

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